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121141320 = 233517431381
BaseRepresentation
bin1110011100001…
…11100001001000
322102221121122120
413032013201020
5222003010240
620004251240
73000453456
oct716074110
9272847576
10121141320
11624212a3
12346a0b20
131c136571
14121359d6
15a97dad0
hex7387848

121141320 has 128 divisors (see below), whose sum is σ = 394035840. Its totient is φ = 29675520.

The previous prime is 121141297. The next prime is 121141327. The reversal of 121141320 is 23141121.

It is a super-3 number, since 3×1211413203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121141320.

It is not an unprimeable number, because it can be changed into a prime (121141327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87030 + ... + 88410.

It is an arithmetic number, because the mean of its divisors is an integer number (3078405).

Almost surely, 2121141320 is an apocalyptic number.

121141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197017920).

121141320 is an abundant number, since it is smaller than the sum of its proper divisors (272894520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121141320 is a wasteful number, since it uses less digits than its factorization.

121141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121141320 is about 11006.4217618625. The cubic root of 121141320 is about 494.8012261796.

Adding to 121141320 its reverse (23141121), we get a palindrome (144282441).

The spelling of 121141320 in words is "one hundred twenty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1381 1462 1720 2040 2193 2580 2762 2924 3655 4143 4386 5160 5524 5848 6905 7310 8286 8772 10965 11048 13810 14620 16572 17544 20715 21930 23477 27620 29240 33144 41430 43860 46954 55240 59383 70431 82860 87720 93908 117385 118766 140862 165720 178149 187816 234770 237532 281724 296915 352155 356298 469540 475064 563448 593830 704310 712596 890745 939080 1009511 1187660 1408620 1425192 1781490 2019022 2375320 2817240 3028533 3562980 4038044 5047555 6057066 7125960 8076088 10095110 12114132 15142665 20190220 24228264 30285330 40380440 60570660 121141320